This 4 credit component covers Elementary Mathematical Models. We will be using the textbook: Elementary Mathematical Models by Dan Kalman. ( Elementary Math Models website ). This text examines data to understand its patterns and to find mathematical models that match the data, allowing us to draw conclusions based on the models. We will use numerical and graphical methods and explore the idea of expressing the solution to difference equations as functions. We will explore how those functions can be used to answer questions about the model. The goal of the class is to understand how the mathematical models can answer questions about real problems.
Class activites will include mathematical reading, discussion, problem solving, short essays, and presentations.
If needed, we will schedule a weekly problem solving session with our teaching assitant (to be determined) I encourage everyone to make use of study groups and the QRC for additional help.
Week | Reading | Assignment | Additional Resources or comments |
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1 | Math assessment test and review, Chap 1 |
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2 | Ch 2 (Sequences and Difference Eqns |
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3 | Ch 3 (Arithmetic Growth) ! |
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4 | Ch 4 (Linear Functions and Equations |
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5 | Ch 5 (Quadratic Growth) |
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6 | Review chap 1-5 and test on Tuesday | ||
6 | Ch 6 (Quadratic Functions and Equations) Note we will not spend the whole week on Ch 6! |
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7 | Ch 9 (Geometric Growth) |
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8 | Ch 10 (Exponential Functions) , Ch 11 pp 233-236 (Logarithms) |
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a site with math tables (including logarithms) Lecture 10 |
9-10 | Ch 12 (Mixed Models) |
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Lecture 12 |
10 | Ch 13 (Logistic Growth) |
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Lecture 13 |
11 | Final exam | Comprehensive |
Article on the patriot missile error: |
All problem homework assignments are due on the Tuesday following the reading assignment. We'll go over selected answers at the start of class on that Tuesday.
Credit and evaluations are based on
Credit is awarded on an all or nothing basis and no incompletes will be given. Failure to attend four or more classes is sufficient grounds for loss of credit. Failure to achieve satisfactory results on exams or failure to submit satisfactory written assignments in a timely way is sufficient grounds for loss of credit.